# What is the equation of the parabola that has a vertex at # (38, -22) # and passes through point # (3,7) #?

##### 1 Answer

There are 2 standard equations:

#### Explanation:

Actually, there are two such parabolas, one whose general vertex form is:

and the other whose general vertex form is:

where

Substitute the vertex

Substitute the point

Substitute the values for "a" into its respective equation:

Here is a graph of the two points and both parabolas: